白貓大俠 asked in 科學數學 · 1 decade ago

一題數學 continuously compound 10點

on a seccretive search through your grandfather's basement you

uncover an old stamp collection. The stamp os worth 1000 dollars

now, but in ten years, it will triple its value. Unfortunately, you will

have to store the collection in a special warehouse during this time.

The storage fee is 200, compound continuously at a rate 5% per year

but is not paid until you withdraw your collection from warehouse.

Sould you store the stamp collection or sell it immediately and invest

the proceeds in the stock market, whrere you expect to make 9.5%

continuously compounded return over the coming ten years.

我到底要帶甚麼公式才能算出他store總共要花多少錢阿

他說5% per year for ten years 我總不能一年一年算吧

請給我算式

感謝

Update:

哈哈謝謝你

我一直以為是一年200要交十年份

原來是總共200

搞得我霧煞煞 原來是英文不好 不是數學不會

另外一提 你可以去回答阿 這樣我點數一起給你

反正都要被扣掉的

1 Answer

Rating
  • 1 decade ago
    Favorite Answer

    首先計算 10 年保管費

    200 * e^(0.05*10) ≒ 329.74

    10 年後之價值 ~

    1000 * 3 – 329.74 = 2670.06

    投資股票 10 年之價值 ~

    1000 * e^(0.095*10) ≒ 2585.71

    因此, 應當保存郵票

    http://tw.myblog.yahoo.com/jw!JCVbjQyaBRbXTWOakinc...

    2009-02-19 08:05:08 補充:

    您這題已經重複發問了, 因此下列網址, 思瑜就不再回答了

    http://tw.knowledge.yahoo.com/question/question?qi...

    2009-02-19 18:40:54 補充:

    對呀! 因為在 storage fee 方面, 後面有加這句話

    but is not paid until you withdraw your collection from warehouse

    另外, 思瑜謝謝您的好意, 思瑜心領了

    2009-02-19 18:43:08 補充:

    不過剛剛看了一下, Hecate 的作法不是連續複利的方式唷!

    他的作法是年複利方式, 錯掉了

    Source(s): 思瑜的部落格
Still have questions? Get your answers by asking now.